Solve 1/12*29^2*29+19*9.4^2+1/12*19=

$$\frac{ 1 }{ 12 } \times { 29 }^{ 2 } \times 29+19 \times { 9.4 }^{ 2 } + \frac{ 1 }{ 12 } \times 19=$$

Evaluate

$$3712.84$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{1}{12}\times 29^{3}+19\times 9.4^{2}+\frac{1}{12}\times 19$$

Calculate 29 to the power of 3 and get 24389.

$$\frac{1}{12}\times 24389+19\times 9.4^{2}+\frac{1}{12}\times 19$$

Multiply \frac{1}{12} and 24389 to get \frac{24389}{12}.

$$\frac{24389}{12}+19\times 9.4^{2}+\frac{1}{12}\times 19$$

Calculate 9.4 to the power of 2 and get 88.36.

$$\frac{24389}{12}+19\times 88.36+\frac{1}{12}\times 19$$

Multiply 19 and 88.36 to get 1678.84.

$$\frac{24389}{12}+1678.84+\frac{1}{12}\times 19$$

Convert decimal number 1678.84 to fraction \frac{167884}{100}. Reduce the fraction \frac{167884}{100} to lowest terms by extracting and canceling out 4.

$$\frac{24389}{12}+\frac{41971}{25}+\frac{1}{12}\times 19$$

Least common multiple of 12 and 25 is 300. Convert \frac{24389}{12} and \frac{41971}{25} to fractions with denominator 300.

$$\frac{609725}{300}+\frac{503652}{300}+\frac{1}{12}\times 19$$

Since \frac{609725}{300} and \frac{503652}{300} have the same denominator, add them by adding their numerators.

$$\frac{609725+503652}{300}+\frac{1}{12}\times 19$$

Add 609725 and 503652 to get 1113377.

$$\frac{1113377}{300}+\frac{1}{12}\times 19$$

Multiply \frac{1}{12} and 19 to get \frac{19}{12}.

$$\frac{1113377}{300}+\frac{19}{12}$$

Least common multiple of 300 and 12 is 300. Convert \frac{1113377}{300} and \frac{19}{12} to fractions with denominator 300.

$$\frac{1113377}{300}+\frac{475}{300}$$

Since \frac{1113377}{300} and \frac{475}{300} have the same denominator, add them by adding their numerators.

$$\frac{1113377+475}{300}$$

Add 1113377 and 475 to get 1113852.

$$\frac{1113852}{300}$$

Reduce the fraction \frac{1113852}{300} to lowest terms by extracting and canceling out 12.

$$\frac{92821}{25}$$

Factor

$$\frac{92821}{5 ^ {2}} = 3712\frac{21}{25} = 3712.84$$